344368400 has 30 divisors (see below), whose sum is σ = 827346042. Its totient is φ = 137747200.

The previous prime is 344368393. The next prime is 344368403. The reversal of 344368400 is 4863443.

It can be written as a sum of positive squares in 3 ways, for example, as 43264 + 344325136 = 208^2 + 18556^2 .

It is not an unprimeable number, because it can be changed into a prime (344368403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 430061 + ... + 430860.

Almost surely, 2^344368400 is an apocalyptic number.

It is an amenable number.

344368400 is an abundant number, since it is smaller than the sum of its proper divisors (482977642).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

344368400 is a wasteful number, since it uses less digits than its factorization.

344368400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 860939 (or 860928 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

The square root of 344368400 is about 18557.1657318676. The cubic root of 344368400 is about 700.9296491678.

The spelling of 344368400 in words is "three hundred forty-four million, three hundred sixty-eight thousand, four hundred".